Solve 36.5x^2y(2x^4y^-3)

$$36.5 x ^ { 2 } y ( 2 x ^ { 4 } y ^ { - 3 } )$$

Evaluate

$$\frac{73x^{6}}{y^{2}}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$36.5^{1}x^{2}y^{1}\times 2^{1}x^{4}y^{-3}$$

Use the Commutative Property of Multiplication.

$$36.5^{1}\times 2^{1}x^{2}x^{4}y^{1}y^{-3}$$

To multiply powers of the same base, add their exponents.

$$36.5^{1}\times 2^{1}x^{2+4}y^{1-3}$$

Add the exponents 2 and 4.

$$36.5^{1}\times 2^{1}x^{6}y^{1-3}$$

Add the exponents 1 and -3.

$$36.5^{1}\times 2^{1}x^{6}y^{-2}$$

Multiply 36.5 times 2.

$$73x^{6}\times \frac{1}{y^{2}}$$

Differentiate w.r.t. x

$$\frac{438x^{5}}{y^{2}}$$